In this lesson I present the very useful “Three-Sequence Theorem” for computing limits.
It runs 39 minutes and includes 8 step-by-step examples (including one with an infinite series).
Table of Contents:
- Three-Sequence Theorem – when applied [01:49]
- Three-Sequence Theorem [02:54]
- applying the Three-Sequence Theorem – example 1 [06:15]
- applying the Three-Sequence Theorem – example 2 [10:45]
- applying the Three-Sequence Theorem – example 3 [13:00]
- method using the sum of an arithmetic or geometric sequence – when applied [15:16]
- formulas for the sum of an arithmetic and a geometric sequence [16:30]
- using the sum formulas for arithmetic and geometric sequences – example 1 [21:38]
- using the sum formulas for arithmetic and geometric sequences – example 2 [23:52]
- using the sum formulas for arithmetic and geometric sequences – example 3 [26:31]
- Three-Sequence Theorem (more difficult) – example 1 [29:46]
- Three-Sequence Theorem (more difficult) – example 2 [33:29]
Dubbed Version (Krystian AI):
AI Voice-over Version:
Original Version with Subtitles:
Formulas needed for the Lesson
Download trigonometric tables (PDF)
Homework
Download Answers to Homework (PDF)
Articles and blog posts related to this Lesson
- “Function limits computed with the Three-Function Theorem“
- “Sequence limit with an infinite series in the expression“
- “Sequence limit with two mixed arithmetic-series sums“
- “Computing a sequence limit via the Three-Sequence Theorem – VIDEO“
- “Sequence limits involving a sum of squares or a sum of cubes“
- “Three-Function Theorem – example VIDEO“